IIT JEE Mains Advance Quiz

A nuclear power plant supplying electrical power to a village uses a radioactive material of
half life T years as the fuel. The amount of fuel at the beginning is such that the total power
requirement of the village is 12.5% of the electrical power available from the plant at that
time. If the plant is able to meet the total power needs of the village for a maximum period
of nT years, then the value of n is

The total number of lone pairs of electrons in N 203 is

For the octahedral complexes of Fe3+ in SCN- (thiocyanato-8) and in CN- ligand
environments, the difference between the spin-only magnetic moments in Bohr magnetons
(when approximated to the nearest integer) is
[Atomic number of Fe = 26]

The number of distinct solutions of the equation
�cos2 2x + cos4 x + sin4 x + cos6 x + sin6 x = 2
4
in the interval [O, 2n] is

Let the curve C be the mirror image of the parabola y
2
= 4x with respect to the line
x + y + 4 = 0. If A and B are the points of intersection of C with the line y = -5, then the
distance between A and B is